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Finding the Fourth Proportional to 4,947.60, 7,392.32 and 4,775.32

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Solution

The fourth proportional to 4,947.60, 7,392.32 and 4,775.32 is: 7,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.60 : 7,392.32 = 4,775.32 : x
  2. Step 2: Convert to fraction form
    4,947.60/7,392.32 = 4,775.32/x
  3. Step 3: Cross multiply
    4,947.60x = 7,392.32 × 4,775.32
  4. Step 4: Simplify right side
    4,947.60x = 35,300,693.54
  5. Step 5: Solve for x
    x = 35,300,693.54/4,947.60
  6. Step 6: Final answer
    x = 7,134.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.